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Finding the Third Proportional to 73,983.75 and 163,048.13

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Solution

The third proportional to 73,983.75 and 163,048.13 is: 359,331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,983.75 : 163,048.13 = 163,048.13 : x
  2. Step 2: Convert to fraction form
    73,983.75/163,048.13 = 163,048.13/x
  3. Step 3: Cross multiply
    73,983.75x = 163,048.13 × 163,048.13
  4. Step 4: Simplify right side
    73,983.75x = 26,584,691,066.02
  5. Step 5: Solve for x
    x = 26,584,691,066.02/73,983.75
  6. Step 6: Final answer
    x = 359,331.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.